Jared León

activity

20242026

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4 papers · 1 filter

math.CO2024

The Turán density of the tight 5-cycle minus one edge

Levente Bodnár, Jared León, Xizhi Liu +1

Let the tight $ℓ$ -cycle minus one edge $C_{ℓ}^{3 -}$ be the $3$ -graph on ${1, \dots, ℓ}$ consisting of $ℓ - 1$ consecutive triples in the cyclic order. We show that, for eve…

math.CO2024

Multi-cyclic graphs in the random graph process with restricted budget

Daniel Iľkovič, Jared León, Xichao Shu

We study a controlled random graph process introduced by Frieze, Krivelevich, and Michaeli. In this model, the edges of a complete graph are randomly ordered and revealed sequentia…

math.CO2024

On cospectral graphons

Jan Hladký, Daniel Iľkovič, Jared León +1

In this short note, we introduce cospectral graphons, paralleling the notion of cospectral graphs. As in the graph case, we give three equivalent definitions: by equality of spectr…

math.CO2024

Nondegenerate Turán problems under $(t, p)$ -norms

Wanfang Chen, Daniel Iľkovič, Jared León +2

Given integers $r > t \geq 1$ and a real number $p > 0$ , the $(t, p)$ -norm $∥ H ∥_{t, p}$ of an $r$ -graph $H$ is the sum of the $p$ -th power o…

The Turán density of the tight 5-cycle minus one edge

Multi-cyclic graphs in the random graph process with restricted budget

On cospectral graphons

Nondegenerate Turán problems under (t,p)-norms

Nondegenerate Turán problems under $(t, p)$ -norms